Strong Password Checker

A password is considered strong if it meets all of the following criteria:

• The password has at least 8 characters.
• It contains at least one lowercase letter.
• It contains at least one uppercase letter.
• It contains at least one digit.

Your task is to write a program that reads a password from standard input and determines whether it is strong or weak. Formally, if the password satisfies all the above conditions, output strong; otherwise, output weak.

For clarity, a password password is defined to be strong if:

$$|password| \geq 8,$$ $$\exists c \in password \text{ such that } c \text{ is lowercase},$$ $$\exists c \in password \text{ such that } c \text{ is uppercase},$$ $$\exists c \in password \text{ such that } c \text{ is a digit}.$$

inputFormat

The input consists of a single line containing the password string.

outputFormat

Output a single line: strong if the password is strong, otherwise weak.

## sample

aB1defgh

strong